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Let us consider two resistors connected in parallel across points A and B.
Then, the euivalent resistance across points A and B is given by the expression as shown above.

Calculating the equivalent resistance across any point means that the whole network of resistors can be replaced by one signal resistance, whose value is given by the expression so derived. Which implies that fig 1 and fig 2 given above are equivalent

When resistors are connected in parallel, the equivalent resistance value is always lesser than the ‘smallest resistor’ value, i.e., if R1 < R2 then (equivalent resistance) R < R1 always.

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